WOLFRAM SYSTEM MODELER

cell

Main model of the example

Diagram

Wolfram Language

In[1]:=
SystemModel["BioChem.Examples.CellDivision.cell"]
Out[1]:=

Information

This model descibres the cell division. Below follows an excerpt of the abstract from the paper describing the model by J. J. Tyson (1991).

"The proteins cdc2 and cyclin form a heterodimer (maturation promoting factor) that controls the major events of the cell cycle. A mathematical model for the interactions of cdc2 and cyclin is constructed. Simulation and analysis of the model show that the control system can operate in three modes: as a steady state with high maturation promoting factor activity, as a spontaneous oscillator, or as an excitable switch. We associate the steady state with metaphase arrest in unfertilized eggs, the spontaneous oscillations with rapid division cycles in early embryos, and the excitable switch with growth-controlled division cycles typical of nonembryonic cells."

Fig. 1 show the simulation results and corresponds to Fig. 3(a) in the paper (J. J. Tyson 1991).


Fig. 1 the model predictions for the total cyclin and active MPF relative to total cdc2.

References

John J. Tyson, "Modeling the Cell Division Cycle: cdc2 and Cyclin Interactions," Proceedings of the National Academy of Sciences of the United States of America, 88(16), 1991, pp. 7328-7332 www.pnas.org/content/88/16/7328.full.pdf

Parameters (3)

mainCompartment

Value: true

Type: Boolean

Description: Specifies whether the compartment is a main (top-level) compartment. Used in SBML import/export.

initialConcentrationCDC2kp

Value: 0.75

Type: Concentration (mol/l)

Description: Initial concentration of substance of cdc2kp

initialConcentrationMPF

Value: 0.25

Type: Concentration (mol/l)

Description: Initial concentration of substance of inactive MPF

Components (18)

EmptySet

Type: EmptySet_

C2

Type: C2_

Description: cdc2k

CP

Type: CP_

Description: cdc2k-P

M

Type: M_

Description: p-cyclin_cdc2

pM

Type: pM_

Description: p-cyclin_cdc2-p

Y

Type: Y_

Description: cyclin

YP

Type: YP_

Description: p-cyclin

YT

Type: YT_

Description: total_cyclin

CT

Type: CT_

Description: total_cdc2

Reaction1

Type: Reaction1_

Description: cyclin_cdc2k dissociation

Reaction2

Type: Reaction2_

Description: cdc2k phosphorylation

Reaction3

Type: Reaction3_

Description: cdc2k dephosphorylation

Reaction4

Type: Reaction4_

Description: cyclin cdc2k-p association

Reaction5

Type: Reaction5_

Description: deactivation of cdc2 kinase

Reaction6

Type: Reaction6_

Description: cyclin biosynthesis

Reaction7

Type: Reaction7_

Description: default degradation of cyclin

Reaction8

Type: Reaction8_

Description: cdc2 kinase triggered degration of cyclin

Reaction9

Type: Reaction9_

Description: activation of cdc2 kinase